[NEW ONE] Find the acute angle that satisfies the given equation
1 answer:
Answer:
The answer to your question is 30°; 1/6 π rad
Step-by-step explanation:
Data
cot Ф = 1/
Process
1.- Here we have a special angle which adjacent side is and its opposite side is 1.
This angle is 30° which hypotenuse is 2.
2.- Convert 30° to radians
πrad ---------------- 180°
x --------------- 30°
x = (30 x π)/180
x = 30/180 π rad
x = 3/18 π rad
x = 1/6 π rad
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Answer:
0.7422 = 74.22% of scores are above 74.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Calculate the proportion of scores above 74.
This is 1 subtracted by the pvalue of Z when X = 74. So
has a pvalue of 0.2578
So 1-0.2578 = 0.7422 = 74.22% of scores are above 74.
(Hard to put it in words for me so here is a picture)
Or you can use point-slope form (
) and insert the slope of -2 and the point (3,6) like this:
And simplify if needed.
Have a great day!
Or you can use point-slope form (
And simplify if needed.
Have a great day!